Tullio LeviCivita, FRS^{[1]}^{[2]} (29 March 1873 – 29 December 1941; Italian pronunciation: ) was an Italian mathematician, most famous for his work on absolute differential calculus (tensor calculus) and its applications to the theory of relativity, but who also made significant contributions in other areas. He was a pupil of Gregorio RicciCurbastro, the inventor of tensor calculus. His work included foundational papers in both pure and applied mathematics, celestial mechanics (notably on the threebody problem), analytic mechanics (the LeviCivita separability conditions in the Hamilton–Jacobi equation)^{[3]} and hydrodynamics.^{[4]}^{[5]}
Contents

Biography 1

Other studies and honors 2

Writings 3

See also 4

Notes 5

Bibliography 6

External links 7
Biography
Tullio LeviCivita
Born into an Italian Jewish family in Padua, LeviCivita was the son of Giacomo LeviCivita, a lawyer and former senator. He graduated in 1892 from the University of Padua Faculty of Mathematics. In 1894 he earned a teaching diploma after which he was appointed to the Faculty of Science teacher's college in Pavia. In 1898 he was appointed to the Padua Chair of Rational Mechanics where he met and, in 1914, married Libera Trevisani, one of his pupils. He remained in his position at Padua until 1918, when he was appointed to the Chair of Higher Analysis at the University of Rome; in another two years he was appointed to the Chair of Mechanics there.
In 1900 he and RicciCurbastro published the theory of tensors in Méthodes de calcul différentiel absolu et leurs applications, which Albert Einstein used as a resource to master the tensor calculus, a critical tool in the development of the theory of general relativity. LeviCivita's series of papers on the problem of a static gravitational field were also discussed in his 1915–1917 correspondence with Einstein. The correspondence was initiated by LeviCivita, as he found mathematical errors in Einstein's use of tensor calculus to explain the theory of relativity. LeviCivita methodically kept all of Einstein's replies to him; and even though Einstein had not kept LeviCivita's, the entire correspondence could be reconstructed from LeviCivita's archive. It is evident from this that, after numerous letters, the two men had grown to respect each other. In one of the letters, regarding LeviCivita's new work, Einstein wrote "I admire the elegance of your method of computation; it must be nice to ride through these fields upon the horse of true mathematics while the like of us have to make our way laboriously on foot". In 1933 LeviCivita contributed to Paul Dirac's equations in quantum mechanics as well.^{[6]}
His textbook on tensor calculus, The Absolute Differential Calculus (originally a set of lecture notes in Italian coauthored with RicciCurbastro), remains one of the standard texts more than a century after its first publication, with several translations available.
In 1936, receiving an invitation from Einstein, LeviCivita traveled to Princeton, United States and lived there with him for a year. But when the risk of war in Europe again rose, he returned to Italy. The 1938 race laws enacted by the Italian Fascist government deprived LeviCivita of his professorship and of his membership of all scientific societies. Isolated from the scientific world, he died in his apartment in Rome in 1941.
Among his Gheorghe Vrânceanu.
Later on, when asked what he liked best about Italy, Einstein said "spaghetti and LeviCivita".^{[7]}
Other studies and honors
Analytical dynamics was another aspect of LeviCivita's studies: many of his articles examine the three body problem. He wrote articles on hydrodynamics and on systems of differential equations. He is credited with improvements to the Cauchy–Kowalevski theorem, on which he wrote a book in 1931. In 1933, he contributed to work on the Dirac equation. He developed the LeviCivita field, a system of numbers that includes infinitesimal quantities.
The Royal Society awarded him the Sylvester Medal in 1922 and elected him as a fellow in 1930. He became an honorary member of the London Mathematical Society, of the Royal Society of Edinburgh, and of the Edinburgh Mathematical Society, following his participation in their colloquium in 1930 at the University of St Andrews. He was also a member of the Accademia dei Lincei and the Pontifical Academy of Sciences.
Like Vito Volterra, being Jewish and an antifascist, he was expelled from the Academy in his country.
Writings

Tullio LeviCivita and Ugo Amaldi Lezioni di meccanica razionale (Bologna: N. Zanichelli, 1923)

Tullio LeviCivita and Enrico Persico Fondamenti di meccanica relativistica ( Bologna : N. Zanichelli, 1928)

Tullio LeviCivita Lezioni di calcolo differenziale assoluto (1925)

Tullio LeviCivita Caratteristiche e propagazione ondosa

Tullio LeviCivita Questioni di meccanica classica e relativistica ( Bologna, N. Zanichelli, 1924)

Tullio Levi Problème des N Corps en relativité générale (GauthierVillars, Paris, 1950, Mémorial des sciences mathématiques ISSN: 00259187)

Tullio LeviCivita and Ugo Amaldi Nozioni di balistica esterna

Tullio LeviCivita (1904). "Sulla integrazione della equazione di HamiltonJacobi per separazione di variabili".
See also
Notes

^

^ Tullio LeviCivita. Nndb.com. Retrieved on 20110814.

^ T. LeviCivita (1904). "Sulla integrazione della equazione di HamiltonJacobi per separazione delle variabili". Math. Ann. 59 (12): 383.

^ .

^ Tullio LeviCivita at the Mathematics Genealogy Project

^ C Cattani and M De Maria, Geniality and rigor: the Einstein – LeviCivita correspondence (1915–1917), Riv. Stor. Sci. (2) 4 (1) (1996), 1–22; as cited in MacTutor archive.

^ Jackson, Allyn (1996). "Celebrating the 100th Annual Meeting of the AMS". In Case, Bettye Anne. A Century of Mathematical Meetings. Providence, RI:
Bibliography


Tullio LeviCivita: Nozione di parallelismo in una varietà qualunque, Rend. Circ. Mat. Palermo 42 (1917), 173–205.

Amir D. Aczel, God's Equation, MJF Books, New York, 1999.

Angelo Loinger (2007). "Einstein, LeviCivita, and Bianchi relations".

"Professor T. LeviCivita, Member of Vatican Academy," The Jewish Chronicle (UK), February 6, 1942.

Pamphlets, mathematics. By Tullio LeviCivita. 1895.
External links

Tullio LeviCivita at the Mathematics Genealogy Project

Scienceworld biography

Another short biography

An Italian short biography of Tullio LeviCivita in Edizione Nazionale Mathematica Italiana online.
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